442561001 has 2 divisors, whose sum is σ = 442561002. Its totient is φ = 442561000.

The previous prime is 442560887. The next prime is 442561003. The reversal of 442561001 is 100165244.

442561001 = 14875² + 14876².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221295376 + 221265625 = 14876^2 + 14875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-442561001 is a prime.

It is a super-2 number, since 2×442561001² = 391720479212244002, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 442561003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (442561003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221280500 + 221280501.

It is an arithmetic number, because the mean of its divisors is an integer number (221280501).

Almost surely, 2^442561001 is an apocalyptic number.

442561001 is the 14876-th centered square number.

It is an amenable number.

442561001 is a deficient number, since it is larger than the sum of its proper divisors (1).

442561001 is an equidigital number, since it uses as much as digits as its factorization.

442561001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 442561001 is about 21037.1338589647. The cubic root of 442561001 is about 762.0632997385.

The spelling of 442561001 in words is "four hundred forty-two million, five hundred sixty-one thousand, one".